The two events that are disjoint or mutually exclusive is getting a head and a tail at the same time. It because if you are going to flip a coin the result can either be head or tail but not both. The value of the two events occurring at the same is 0.
The answer is 488 sq cm.
rectangle:
A=lw
A=(22)(17)
A=374
triangle:
A=(1/2)bh
A=(1/2)(19)(22-10)
A=(1/2)(19)(12)
A=(1/2)228
A=114
rectangle + triangle:
374 + 114 = 488
Answer:
LA = 96
SA = 108
Step-by-step explanation:
The lateral surface area is the area of the sides (not including the bases). For a triangular prism, the bases are the triangles.
The sides consist of three rectangles. The vertical rectangle is 3 by 8 units. The horizontal rectangle is 4 by 8 units.
The slanted rectangle has a length of 8 units, but we don't know the width. To find that, we use Pythagorean theorem to find the hypotenuse of the triangles.
c² = a² + b²
c² = 3² + 4²
c = 5
So the lateral surface area is:
LA = (3)(8) + (4)(8) + (5)(8)
LA = 96
The total surface area is the lateral surface area plus the area of the bases.
SA = 96 + ½(3)(4) + ½(3)(4)
SA = 108
X-intercept = (2 , 0)
y-intercept = (0 , -8)
Slope of the line:
m = (-8 - 0) / (0 - 2)
m = 4
y = 4x - 8
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140